학술논문

Revisiting the Lee-Yang singularities in the four-dimensional Ising model: a tribute to the memory of Ralph Kenna
Document Type
Working Paper
Source
Condensed Matter Physics, 2024, Vol. 27, No. 3, 33604
Subject
Condensed Matter - Statistical Mechanics
Condensed Matter - Disordered Systems and Neural Networks
Language
Abstract
We have studied numerically the Lee-Yang singularities of the four dimensional Ising model at criticality, which is believed to be in the same universality class as the $\phi_4^4$ scalar field theory. We have focused in the numerical characterization of the logarithmic corrections to the scaling of the zeros of the partition function and its cumulative probability distribution, finding a very good agreement with the predictions of the renormalization group computation on the $\phi_4^4$ scalar field theory. To obtain these results, we have extended a previous study [R. Kenna, C. B. Lang, Nucl. Phys., 1993, B393, 461] in which there were computed numerically the first two zeros for $L\leqslant 24$ lattices, to the computation of the first four zeros for $L\leqslant 64$ lattices.
Comment: 12 pages, 6 figures, 6 tables